Solution 1:

Yes, you can. This website explains:

You'll have to get the blueprint for the Child's bed from Rebecca for 3200 G. The blueprint requires 10 Black Lumber, 5 Suffolk Wool, 10 Alpaca Wool and 1 Pink Diamond.

After marriage, the pregnancy event will trigger in 30 days. If you don't have the child's bed, then the event will be postponed until you have one.

The pregnancy lasts 60 days, and there is no gameplay difference.

The baby will stay in its bed not moving for 62 days, then he/she will start the crawling cutscene. After the cutscene, the baby will return to it's bed. You can now talk to the baby, but you can't give it gifts.

After 62 more days, the baby will develop into a child, he/she will move about the farm and you can now give him/her gifts.

After at least 30 days and 60,000 FP, the Harvest Goddess will come to you house and give your child a piece of Candy. This will turn them into a teenager for 30 days, not a full 31-day season. After 30 days, the candy will wear off and they will revert back into a child. Your teenager can only forage, same as your spouse, on Fridays and Saturdays if the weather is sunny.

If you want another piece of Candy, give Alice the Harvest Sprite some Royal Jelly. The mountain honey bee is the only bee that can produce the Royal Jelly needed.